CN102750260B - Describe electronic equipment and the curve plotting method of curve - Google Patents
Describe electronic equipment and the curve plotting method of curve Download PDFInfo
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- CN102750260B CN102750260B CN201210080227.2A CN201210080227A CN102750260B CN 102750260 B CN102750260 B CN 102750260B CN 201210080227 A CN201210080227 A CN 201210080227A CN 102750260 B CN102750260 B CN 102750260B
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F15/00—Digital computers in general; Data processing equipment in general
- G06F15/02—Digital computers in general; Data processing equipment in general manually operated with input through keyboard and computation using a built-in program, e.g. pocket calculators
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F15/00—Digital computers in general; Data processing equipment in general
- G06F15/02—Digital computers in general; Data processing equipment in general manually operated with input through keyboard and computation using a built-in program, e.g. pocket calculators
- G06F15/0216—Constructional details or arrangements
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Abstract
By the curve shape represented with the object in image or things and the fitting equation that this curve shape shows according to physical size can be learnt with being associated.Function calculator (1) possesses: display (3), display image; CPU (11), detects the some consistent curvilinear figure with the multiple curve shapes preset, and describe curve overlappingly on the curvilinear figure detected from image; Input part (14), based on user operation, certain 1 line segment among the multiple line segments comprised in appointment image, as the line segment of length input object, and inputs the length of length object line segment.CPU (11), according to the position of curve and shape, sets the initial point of coordinate system in the picture, based on the length of the line segment of length input object, calculates the indication range of the coordinate system that set overlapping with image.In addition, CPU (11) based on indication range, the fitting equation of calculated curve, and being presented on display (3).
Description
Technical field
The present invention relates to the electronic equipment and program of describing curve (graph).
Background technology
In the past, in the electronic equipment of display photographs, by while the photographs of mobile object is shown as a setting, describe curved for the determination data of this mobile object, the shape of curve and physics things can be associated and learn.
But, in the prior art, be only the curve point based on determination data is linked describe curve, and and this curve shape cannot be associated the curve shape in image according to the fitting equation that physical size shows and learn.
Summary of the invention
Technical matters of the present invention is, provides a kind of electronic equipment, and can be associated the curve shape represented with object or things etc. in image according to the fitting equation that physical size shows by this curve shape and learn.
In order to solve the problems of the technologies described above, electronic equipment of the present invention possesses: display, display image; Curvilinear figure detecting unit, detects and the some consistent curvilinear figure in the multiple curve shapes preset from described image; Curve delineation unit, the curvilinear figure detected by this curvilinear figure detecting unit describes curve overlappingly; Length input line segment designating unit, based on user operation, specifies in described image certain 1 line segment among multiple line segments of comprising, as the line segment of length input object; Line segment length input block, based on user operation, to the line segment input length of described length input object; Initial point setup unit, sets the initial point of coordinate system accordingly with the position of described curve and shape in described image;
Indication range computing unit, based on the length of the line segment of described length input object, calculates the indication range of the coordinate system set overlappingly with described image; And fitting equation computing unit, based on described indication range, calculate the fitting equation of described curve and show on the display.
Accompanying drawing explanation
Fig. 1 is the vertical view of the schematic configuration of representative function counter.
Fig. 2 is the block diagram of the functional structure of representative function counter.
Fig. 3 is the process flow diagram of the flow process representing image Graphics Processing.
Fig. 4 is the process flow diagram of the flow process representing image Graphics Processing.
Fig. 5 is the process flow diagram of the flow process of the setting process representing origin position.
Fig. 6 is the process flow diagram of the flow process of the setting process of the line segment representing length setting object.
Fig. 7 A is the figure of the displaying contents representing display.
Fig. 7 B is the figure of the displaying contents representing display.
Fig. 7 C is the figure of the displaying contents representing display.
Fig. 7 D is the figure of the displaying contents representing display.
Fig. 7 E is the figure of the displaying contents representing display.
Fig. 7 F is the figure of the displaying contents representing display.
Fig. 8 A is the figure of the displaying contents representing display.
Fig. 8 B is the figure of the displaying contents representing display.
Fig. 8 C is the figure of the displaying contents representing display.
Fig. 8 D is the figure of the displaying contents representing display.
Fig. 8 E is the figure of the displaying contents representing display.
Fig. 8 F is the figure of the displaying contents representing display.
Fig. 9 A is the figure of the displaying contents representing display.
Fig. 9 B is the figure of the displaying contents representing display.
Fig. 9 C is the figure of the displaying contents representing display.
Fig. 9 D is the figure of the displaying contents representing display.
Figure 10 A is the figure of the displaying contents representing display.
Figure 10 B is the figure of the displaying contents representing display.
Figure 10 C is the figure of the displaying contents representing display.
Figure 10 D is the figure of the displaying contents representing display.
Figure 11 A is the figure of the displaying contents representing display.
Figure 11 B is the figure of the displaying contents representing display.
Figure 11 C is the figure of the displaying contents representing display.
Figure 11 D is the figure of the displaying contents representing display.
Figure 12 A is the figure of the displaying contents representing display.
Figure 12 B is the figure of the displaying contents representing display.
Figure 12 C is the figure of the displaying contents representing display.
Figure 12 D is the figure of the displaying contents representing display.
Figure 12 E is the figure of the displaying contents representing display.
Figure 12 F is the figure of the displaying contents representing display.
Embodiment
Below, an example of embodiments of the present invention is explained with reference to accompanying drawing.But scope of invention is not limited to illustrated example.
[1. the structure of function calculator]
[1-1. surface structure]
Fig. 1 is the concept map of the schematic configuration of representative function counter 1.
As shown in the drawing, function calculator 1 comprises the enter key group 2 and display 3 with various key group.
Enter key group 2 is key groups of input operation for accepting the mathematical expression such as numerical value or sign of operation inscape from user or the instruction accepting various process operation, possesses the multiple keys being assigned with inherent function respectively.In the present embodiment, enter key group 2 possesses: numerical key (ten key) 20, sign of operation key 21, cursor key 22, EXE key 23, delete key 24 etc.
Wherein, numerical key 20 is the keys of the input operation accepting numerical value, and sign of operation key 21 accepts as the score line of the mark of arithmetic and parantheses, mark, radical sign (√), key to the input operation of the various signs of operation of number token, constant (circular constant " π ", ray velocity " c " etc.), trigonometric function mark etc.
Cursor key 22 is the keys making the cursor of expression edit object position or alternative position press to prescribed direction moves in display 3, in the present embodiment, is configured to 4 directions that can input up and down.
EXE key 23 accepts the execution instruction of process or determines the key of the input operation indicated, such as, indicate the key of the execution of calculation process to play function afterwards as the input in mathematical expression.Delete key 24 is the keys accepting the deletion action of the numerical value shown on the display 3 or the sign of operation etc. being deleted.
Display 3 is by formations such as LCD (Liquid Crystal Display) or ELD (ElectronicLuminescent Display), except the character corresponding with the operation of enter key group 2 grade or symbol, mathematical expression, operation result, coordinate axis, curve etc., also shown the various data used required for function calculator 1 by multiple side's point (dot).In addition, in the display 3 of present embodiment, showing X-axis in the transverse direction, show Y-axis in the vertical, show XY coordinate system by this XY axle, counts as " 186 ", " 378 " in the side of Y-axis, X axis.In addition, in the present embodiment, each side's point is square, and length is in length and breadth identical.And then in the display 3 of present embodiment, touch panel 30 is arranged integratedly throughout the whole face of display frame.
[1-2. functional structure]
Then, the functional structure of function calculator 1 is described.
Fig. 2 is the block diagram of the outline functional structure of representative function counter 1.
As shown in the drawing, function calculator 1 possesses: input part 14, display part 15, Department of Communication Force 16, recording medium reading part 17, RAM (Random Access Memory) 12, storage part 13 and CPU (Central Processing Unit) 11.
Input part 14 possesses above-mentioned enter key group 2 and touch panel 30, exports the signal corresponding with the position of the key be pressed or touch panel 30 to CPU11.
Display part 15 possesses above-mentioned display 3, according to the display from CPU11 by various information displaying on the display 3.
Department of Communication Force 16 can with Internet connection, thereby, it is possible to communicate between the external mechanical be connected with the Internet.
Recording medium reading part 17 is for reading information from external information storage medium 17A such as detachably mounted USB storage.
RAM12 temporarily protects stored volatile memory, and have multiple perform region, the plurality of perform region is for preserving the various program or the data etc. relevant to these various programs that are performed.
Storage part 13 is the nonvolatile memories be made up of ROM (Read Only Memory) etc., stores various program and various data.Specifically, storage part 13 stores image display program 130 as program of the present invention and image file group 131.
Image display program 130 is the programs making CPU11 perform image Graphics Processing described later (with reference to Fig. 3 ~ Fig. 4).
The image file 100 of multiple image that can show on the display 3 is stored in image file group 131.These image files 100 receive via Department of Communication Force 16.
The each portion of CPU11 to function calculator 1 carries out center-control.Specifically, the program development of specifying among the system program be stored in storage part 13 and various application program in RAM12, is performed various process by cooperating with the program be deployed in RAM12 by CPU11.
[2. the action of function calculator]
Then, the action of function calculator 1 is described with reference to Fig. 3 ~ Fig. 4.
Fig. 3 ~ Fig. 4 to read from storage part 13 for illustration of CPU11 and performs the process flow diagram of the action of the image Graphics Processing of image display program 130.
As shown in Figure 3, in image Graphics Processing, first, CPU11 determines whether the operation (step S1) having carried out reading the declaration of will of image file 100 from storage part 13, when being judged to have carried out operation (step S1: yes), the image file 100 of being specified by user operation is read from storage part 13, and image (step S2) display as a setting on the display 3, then move to step S5 described later.
In addition, being judged in step sl not carry out reading the operation of the declaration of will of image file 100 from storage part 13 (step S1: no), CPU11 determines whether the operation (step S3) having carried out the declaration of will of downloading image file 100 from the Internet, when being judged to not operate (step S3: no), move to other process.
In addition, when being judged to have carried out the operation of the declaration of will of downloading image file 100 in step s3 (step S3: yes), the image file 100 of being specified by user operation is downloaded and is stored in storage part 13 by CPU11, and on the display 3 as a setting image display (step S4).
Then, CPU11 determines whether the operation (step S5) of the declaration of will having carried out the equational type of trade-off curve, when having carried out operating (step S5: yes), on the display 3 by the type (being general equation formula and the curve shape of curve in present embodiment) of fitting equation guide look display (step S6), select the type (step S7) of certain fitting equation based on user operation.
Then, CPU11, after the curvilinear figure consistent with the curve shape of selected fitting equation type detected from the background image shown on the display 3 (step S8), moves to step S21 described later.
In addition, when being judged to be the operation of the declaration of will not carrying out the equational type of trade-off curve in above-mentioned step S5 (step S5: no), CPU11 determines whether the operation (step S11) having carried out the declaration of will of searching for curvilinear figure, when being judged to not operate (step S11: no), move to step S24 described later.
In addition, when being judged to have carried out the operation of the declaration of will of searching for curvilinear figure in step s 11 (step S11: yes), CPU11 detects circle, oval and parabolical each curvilinear figure (step S12) from display background image on the display 3.
Then, CPU11 describes curve overlappingly on each curvilinear figure detected from background image, and, show this fitting equation (step S21) with the color identical with the Show Color of this curve.
Then, CPU11 is based on user operation, select certain curvilinear figure as trade-off curve figure, and, the curve of non-selected curvilinear figure and fitting equation are deleted (step S22) from display 3, afterwards, the setting process (step S23) of origin position is carried out.
Specifically, as shown in Figure 5, in the setting process of this origin position, first, after the middle position of the viewing area on display 3 is temporarily set as origin position (step T1) by CPU11, judge that whether trade-off curve figure is as justifying or oval (step T2).
When being judged to be that in this step T2 trade-off curve figure is round or oval (step T2: yes), CPU11 ends process after the position of the foot of this curvilinear figure is reset to origin position (step T3).
In addition, be judged to be in step T2 trade-off curve figure be not circle neither oval (step T2: no), CPU11 judges the para-curve (step T5) of opening above or below trade-off curve figure is whether among para-curve.
Be judged to be in this step T5 (step T5: yes) in the parabolical situation of opening above or below among trade-off curve figure para-curve, CPU11 judges whether whether trade-off curve figure is as substantially symmetrical, namely offset (step T6) relative to summit towards side, left and right.
In this step T6, be judged to be that trade-off curve figure is for (step T6: yes) in substantially symmetrical situation, CPU11 judges trade-off curve figure whether as upper opening (step T7).
When being judged to be that in this step T7 trade-off curve figure is upper opening (step T7: yes), after vertex position (position of foot) is reset to origin position (step T8) by CPU11, end setup process.
In addition, when being judged to be that in step T7 trade-off curve figure is not upper opening, when being that is judged to be lower opening (step T7: no), the X-coordinate position of vertex position (position of topmost) is reset to the X-coordinate position (step T9) of initial point by CPU11, and, the Y-coordinate position of the foot of trade-off curve figure is reset to the Y-coordinate position (step T10) of initial point, end setup process.
In addition, in step T6, be judged to be that trade-off curve figure is not (step T6: no) in the symmetrical situation of cardinal principle, CPU11 judges that whether trade-off curve figure is the only one-sided part (step R11) from parabolical vertex, when being judged to be not only one-sided part (step T11: no), origin position is set, end setup process as the temporary transient setting in step T1.
In addition, when being judged to be that in step T11 trade-off curve figure is only one-sided part from parabolical vertex (step T11: yes), the position in the rectangular lower left corner surrounding trade-off curve figure is reset to origin position (step T12), end setup process by CPU11.
In addition, be judged to be in step T5 (step T5: no) in the parabolical situation of opening above or below trade-off curve figure is not among para-curve, CPU11 judges trade-off curve figure whether as the para-curve (step T15) of the right side among para-curve or left opening, be judged to be in the parabolical situation not being the right side or left opening (step T15: no), origin position is set, end setup process as the temporary transient setting in step T1.
In this step T15, be judged to be that trade-off curve figure is (step T15: yes) in the parabolical situation of the right side or left opening, the vertex position of trade-off curve figure is reset to origin position (step T16) by CPU11, end setup process.
By above step T2 ~ T16, with the position of trade-off curve figure (describing curve on the display 3) and shape accordingly in the picture (in viewing area) set the initial point of coordinate system.
Then, after the setting process of origin position terminates, as shown in Figure 3, then, CPU11 determines whether the operation (step S24) having carried out the declaration of will revising origin position, when having carried out operating (step S24: yes), at origin position set at present display initial point (step S25).
Then, CPU11 judges that whether trade-off curve figure is as justifying or oval (step S26), when being judged to be round or oval (step S26: yes), and the setting menu (step S27) of display origin position.At this, as the setting menu shown in this step S27, employ " current location OK ", " be set as " center ", " changing to specified location in user " these 3 menus of circle.Then, if having selected the menu of " current location OK ", then do not change origin position set at present and remain unchanged.In addition, " be set as the menu of the " center " of circle if having selected, then the center of trade-off curve figure (circle or oval) be set as origin position.In addition, if having selected the menu of " changing to specified location in user ", then the assigned address based on user operation is set as origin position.
Then, CPU11 and user-selected menu reset origin position (step S28) accordingly, move to above-mentioned step S24.
In addition, be judged to be in step S26 trade-off curve figure be not circle neither oval (step S26: no), CPU11 shows the setting menu (step S29) of origin position, moves to above-mentioned step S28.At this, as the setting menu shown in this step S29, use " current location OK ", " being set as the summit of figure ", " changing to specified location in user " these 3 menus.Then, if having selected the menu of " vertex position being set as figure ", then the vertex position of trade-off curve figure (para-curve) is set as origin position.
In addition, when being judged to not carry out the operation of the declaration of will revising origin position in above-mentioned step S24 (step S24: no), as shown in Figure 4, CPU11 determines whether the operation (step S31) having carried out the line segment in background image being carried out to the declaration of will of length setting, when being judged to have carried out operation (step S31: no), move to other process.
In addition, when being judged to have carried out in step S31 to carry out the operation of the declaration of will of length setting to the line segment in background image (step S31: yes), CPU11 carries out the setting process (step S32) of the line segment of length setting object.
Specifically, as shown in Figure 6, in the setting process of the line segment of this length setting object, first, CPU11 temporarily will be set as the line segment (step U1) of length setting object from initial point along the line segment till X-axis positive dirction 1 scale.In addition, the interval of the scale of X-axis is set to default value.
Then, CPU11 judges that whether trade-off curve figure is as justifying or oval (step U2), when being judged to be round or oval (step U2: yes), after being reset to the line segment (step U3) of length setting object from the line segment of center to foot of circle, end setup process.
In addition, be judged to be in step U2 trade-off curve figure be not circle neither oval (step U2: no), CPU11 judges trade-off curve figure whether as the para-curve (step U5) of opening above or below among para-curve.
Be judged to be in this step U5 (step U5: no) in the parabolical situation of opening above or below trade-off curve figure is not among para-curve, the line segment of CPU11 preseting length setting object as the temporary transient setting in step U1, end setup process.
In addition, be judged to be (step U5: yes) in the parabolical situation of opening above or below among trade-off curve figure para-curve in step U5, CPU11 judges trade-off curve figure whether as substantially symmetrical (step U6).
In this step U6, be judged to be that trade-off curve figure is in the symmetrical situation of cardinal principle (step U6: yes), the rectangular top surrounding trade-off curve figure is reset to the line segment (step U7) of length setting object by CPU11, end setup process.
In addition, in step U6, be judged to be that trade-off curve figure is not (step U6: no) in the symmetrical situation of cardinal principle, CPU11 judges that whether trade-off curve figure is the only one-sided part (step U8) from parabolical vertex, when being judged to be not only one-sided part (step U8: no), as the temporary transient setting in step U1, the line segment of preseting length setting object, end setup process.
In addition, when being judged to be that in step U8 trade-off curve figure is only one-sided part from parabolical vertex (step U8: yes), the rectangular left side surrounding trade-off curve figure is reset to the line segment (step U9) of length setting object by CPU11, end setup process.
After the setting process of the line segment of above length setting object terminates, as shown in Figure 4, then, CPU11 determines whether the operation (step S33) of the declaration of will having carried out the line segment revising setting object, when being judged to not operate (step S33: no), move to step S36 described later.
In addition, when being judged to have carried out the operation of the declaration of will of the line segment revising setting object in step S33 (step S33: yes), any line segment in background image, based on user operation, is reset to the line segment (step S35) of length setting object by CPU11.
Then, if be have input the length (step S36) of the line segment of length setting object by user, then count in the side of the numerical value of input divided by this line segment by CPU11, calculates thus length (Ld) (the step S37) of every 1 side's point.
Then, CPU11 utilizes following equation to calculate the indication range (step S38) of XY coordinate system.Wherein, in equation, Xd0 is the some position, side (counting in the side from the left end of viewing area) of the initial point on X axis, and Yd0 is the some position, side (counting in the side from the lower end of viewing area) of the initial point in Y-axis.
Xmin＝-Xd0×Ld
Xmax=total side of the X-direction (count-Xd0) × Ld
Ymin＝-Yd0×Ld
Ymax=total side of the Y-direction (count-Yd0) × Ld
Then, the indication range calculated to be set in the viewing area of display 3 after (step S41) by CPU11, based on this indication range, utilize least square method to calculate the fitting equation of trade-off curve figure, and by result of calculation display on the display 3 (step S42).
Then, CPU11 determines whether to have carried out the operation (step S51) to the declaration of will of the line segment computational length in background image.
When being judged to be the operation of the declaration of will having carried out computational length in this step S51 (step S51: yes), any line segment in background image is appointed as the line segment (step S52) of length computation object by CPU11 based on user operation, to the length of specifying the side of line segment to count to be multiplied by every 1 side's point the length of this line segment (side of the line segment of Ld=length setting object counts /), calculate the length (step S53) of this appointment line segment thus, and by the length display that calculates on the display 3 after (step S54), move to above-mentioned step S51.
In addition, when being judged to be the operation of the declaration of will not carrying out computational length in step s 51 (step S51: no), CPU11 determines whether the operation (step S55) of the declaration of will having carried out the trace (trace) performing trade-off curve figure, when being judged to not operate (step S55: no), move to other process.
In addition, when being judged to have carried out the operation of the declaration of will of the trace performing trade-off curve figure in step S55 (step S55: yes), CPU11 makes the fitting equation showing trade-off curve figure, regulation point (such as initial point) on trade-off curve figure shows trace cursor T (with reference to Fig. 9 B etc.), and shows the coordinate (step S56) of this trace cursor T.
Then, CPU11 and the cursor operations of user make trace cursor T move on trade-off curve figure accordingly, and, the coordinate (step S57) of the trace cursor T after display is mobile.
Then, CPU11 determines whether the operation (step S58) of the declaration of will having carried out the process before being back to trace execution, when being judged to not operate (step S58: no), move to above-mentioned step S57, on the other hand, when being judged to have carried out operation (step S58: yes), move to above-mentioned step S51.
[3. action case]
Then, above-mentioned action is specifically described with reference to accompanying drawing.
(action case (1))
First, if user carries out reading the operation (step S1: yes) of the declaration of will of image file 100 from storage part 13 and specifying image file 100, then shown in Fig. 7 A, read specified image file 100 from storage part 13, and on the display 3 as a setting image display (step S2).In addition, in this action case, show the photographs image as a setting of the arch bridge be erected on rivers and creeks.
Then, if user carries out the operation (step S5: yes) of the declaration of will of the equational type of trade-off curve, then as shown in Figure 7 B, by the type (the general equation formula of curve and curve shape) of fitting equation guide look display on the display 3 (step S6).
Then, if user selects " Y=A (X-H)
2+ K " type (step S7) of fitting equation of (para-curve of upper opening, lower opening); then as shown in Fig. 7 C, Fig. 7 D; detect the curvilinear figure (2 arcuate parts in this case in arch bridge) (step S8) consistent with the curve shape of selected fitting equation type from background image; describe curve overlappingly on each curvilinear figure detected; and, show this fitting equation (step S21) with the color identical with the Show Color of this curve.In addition, in fig. 7d, the fitting equation " Y=A (X-H) of overlapping with the arcuate part of upside curve and upside
2+ K " show with blue, the fitting equation " Y=A (X-H) of the curve overlapping with the arcuate part of downside and downside
2+ K " use red display.
Then, if user selects the curvilinear figure of the arcuate in shape of upside as trade-off curve figure, then as seen in figure 7e, curve and the fitting equation (step S22) of the curvilinear figure of downside is deleted from display 3.
Then, be judged to be trade-off curve figure be among para-curve above or below opening para-curve (step T5: yes) and substantially symmetrical (step T6: yes) and be not upper opening (step T7: no), the X-coordinate position of vertex position (position of topmost) is set as the X-coordinate position (step T9) of initial point, the Y-coordinate position of the foot of trade-off curve figure is set as the Y-coordinate position (step T10) of initial point.In addition, in figure 7e, for convenience's sake, the origin position now set is illustrated (substantial middle with reference in figure) with stain.
Then, user carries out the operation (step S31: the yes) line segment in background image being carried out to the declaration of will of length setting, and after having carried out the operation (step S33: yes) of the declaration of will of the line segment revising setting object, as shown in Figure 7 F, the line segment from origin position to the summit of curvilinear figure in background image, the line segment that is that is equivalent to the height of arcuate part are reset to the line segment (step S35) of length setting object.
Then, as shown in Fig. 8 A, Fig. 8 B, if user have input length " 30 " (the step S36) of the line segment of length setting object based on the true altitude of the arch bridge in image, then inputted numerical value " 30 " is counted (in this case " 45 ") divided by the side of this line segment, calculate the length (Ld=0.667 of every 1 side point thus ...) (step S37), thus calculate indication range (Xmin=-126, Xmax=126, Ymin=-80, Ymax=44) (the step S38) of XY coordinate system.
Then, the indication range calculated is set in the viewing area of display 3 after (step S41), based on this indication range, utilizes least square method to calculate the fitting equation of trade-off curve figure, as shown in Figure 8 C, by result of calculation " Y=-0.002X
2+ 30 " display on the display 3 (step S42).
Then, if as shown in Fig. 8 D, Fig. 8 E, user has carried out the operation (step S51: the yes) line segment in background image being carried out to the declaration of will of length computation, the line segment of working as with bridge appearance is appointed as the line segment (step S52) of length computation object, then as shown in Fig. 8 F, Fig. 9 A, length (the Ld=0.667 put every 1 side is multiplied by specifying the side of line segment to count ...), calculate the length " 220 " of this appointment line segment thus and carry out showing (step S53, S54).
Then, if user has carried out the operation (step S55: yes) performing the declaration of will of the trace of trade-off curve figure, then as shown in Figure 9 B, regulation point (in this case summit) on trade-off curve figure shows trace cursor T, and show coordinate " X=0, Y=30 " (the step S56) of this trace cursor T.
Then, if user carries out cursor operations and makes trace cursor T move on trade-off curve figure, then as shown in Fig. 9 C, Fig. 9 D, the coordinate (step S57) of the trace cursor T after display is mobile.
(action case (2))
First, if user has carried out reading the operation (step S1: yes) of the declaration of will of image file 100 from storage part 13 and specifying image file 100, then as shown in Figure 10 A, read specified image file 100 from storage part 13, and on the display 3 as a setting image display (step S2).In addition, in this action case, show with the parabolic shape ejection fish tail lion of water and the photographs image as a setting of ferris wheel.
Then, if user has carried out the operation (step S11: yes) of searching for the declaration of will of curvilinear figure, from background image, then detect circle, oval and parabolical each curvilinear figure (step S12), as shown in Figure 10 B, the each curvilinear figure detected describes curve overlappingly, and shows this fitting equation (step S21) with the color identical with the Show Color of this curve.In addition, in fig. 1 ob, the fitting equation " Y=A (X-H) of overlapping with the parabola branch of the water sprayed from fish tail lion curve and upside
2+ K " show with blue, the fitting equation " (X-H) of the curve overlapping with the circular portion of ferris wheel and downside
2+ (Y-K)
2=R
2" use red display.
Then, if user have selected the curvilinear figure of toroidal as trade-off curve figure, then as illustrated in figure 10 c, curve and the fitting equation (step S22) of parabolic shape is deleted on the display 3.
Then, be judged to be that trade-off curve figure is for circle or oval (step T2: yes), is set as origin position (step T3) by the position of the foot of this curvilinear figure.
Then, if user has carried out the operation (step S24: yes) revising the declaration of will of origin position, then as shown in Figure 10 D, initial point (step S25) is shown at origin position (position of the foot of curvilinear figure) set at present.
Then, judge that trade-off curve figure is as circle or oval (step S26: yes), shows the setting menu " current location OK " of origin position, " is set as " center ", " changing to specified location in user " (step S27) of circle.Then, if user have selected " current location OK ", then origin position is not changed and remain unchanged (step S28).
Then, user carries out the operation (step S31: the yes) line segment in background image being carried out to the declaration of will of length setting, and after having carried out the operation (step S33: yes) of the declaration of will of the line segment revising setting object, as shown in Figure 11 A, by the line segment from origin position to the center of curvilinear figure (circle) in background image, the line segment being that is equivalent to the radius of ferris wheel, be reset to the line segment (step S35) of length setting object.
Then, as shown in Figure 11 B, if user have input length " 80 " (the step S36) of the line segment of length setting object based on the real radius of the ferris wheel in image, then inputted numerical value " 80 " is counted (in this case " 30 ") divided by the side of this line segment, thus, calculate the length (Ld=2.667 of every 1 side point ...) (step S37), thus calculate indication range (Xmin=-800, Xmax=208, Ymin=-160, Ymax=336) (the step S38) of XY coordinate system.
Then, the indication range calculated is set in the viewing area of display 3 after (step S41), based on this indication range, utilizes least square method to calculate the fitting equation of trade-off curve figure, as shown in Figure 11 C, by result of calculation " X
2+ (Y-80)
2=6400 " display on the display 3 (step S42).
Then, if user has carried out the operation (step S55: yes) performing the declaration of will of the trace of trade-off curve figure, then as shown in Figure 11 D, regulation point display trace cursor T on trade-off curve figure, and, show coordinate " X=80, Y=80 " (the step S56) of this trace cursor T.
In addition, if under the state shown in above-mentioned Figure 10 B, user selects the curvilinear figure of parabolic shape as trade-off curve figure, then as illustrated in fig. 12, delete curve and the fitting equation (step S22) of toroidal on the display 3.
Then, be judged to be the para-curve (step T5: yes) of opening above or below among trade-off curve figure para-curve and be not substantially symmetrical (step T6: no) and be the only one-sided part (step T11: yes) from parabolical vertex, the position in the rectangular lower left corner surrounding trade-off curve figure is set as origin position (step T12).In addition, in fig. 12, for convenience's sake, the origin position set at this moment illustrates stain (lower-left with reference in figure).
Then, user carries out the operation (step S31: the yes) line segment in background image being carried out to the declaration of will of length setting, and after having carried out the operation (step S33: yes) of the declaration of will of the line segment revising setting object, as shown in Figure 12 B, by the line segment from origin position to the upper end of curvilinear figure in background image, the line segment being that is equivalent to the height of parabola branch, be reset to the line segment (step S35) of length setting object.
Then, as indicated in fig. 12 c, if user have input length " 8 " (the step S36) of the line segment of length setting object based on the parabolical true altitude in image, then the numerical value " 8 " of input is counted (in this case " 90 ") divided by the side of this line segment, calculate thus length (Ld=0.0889) (the step S37) of every 1 side point, thus calculate indication range (Xmin=-7.8, Xmax=25.6, Ymin=-2.2, Ymax=14.3) (the step S38) of XY coordinate system.
Then, the indication range calculated is set in the viewing area of display 3 after (step S41), based on this indication range, utilizes least square method to calculate the fitting equation of trade-off curve figure, as indicated in fig. 12d, by result of calculation " Y=-0.03X
2+ 11 " display on the display 3 (step S42).
Then, if user has carried out the operation (step S55: yes) performing the declaration of will of the trace of trade-off curve figure, then as shown in figure 12e, regulation point display trace cursor T on trade-off curve figure, and show coordinate " X=0, Y=11 " (the step S56) of this trace cursor T.
Then, if user carries out cursor operations and makes trace cursor T move on trade-off curve figure, then as shown in Figure 12 F, the coordinate (step S57) of the trace cursor T after display is mobile.
As described above, function calculator 1 according to the present embodiment, as the step S8 of Fig. 3, S12, S21 ~ S23, S32 ~ S42, Fig. 7 A ~ Fig. 8 C, shown in Figure 10 A ~ Figure 12 F etc., the some consistent curvilinear figure with the multiple curve shapes predetermined detected in the picture, this curvilinear figure describes curve overlappingly and sets the initial point of coordinate system accordingly in the picture with the position of curve and shape, based on user operation, specify the some line segments in the multiple line segments comprised in image as the line segment of length input object and input length, based on the length of input, calculate the indication range of the coordinate system set overlappingly with image, based on this indication range, calculate and show the equation of curve, therefore, can by the curve shape represented with object or things etc. in image, learn with being associated with the fitting equation that this curve shape and physical size are correspondingly carried out showing.
In addition, as shown in step S52 ~ S54, Fig. 8 D ~ Fig. 9 A etc. of Fig. 4, if specify in image based on user operation and comprise the line segment of the some line segments in multiple line segment as length computation object, length then based on the line segment of length input object is carried out the length of the line segment of computational length calculating object and shows, therefore, contribute to the understanding of fitting equation, can results of learning be improved.
In addition, as shown in step S21 ~ S22, Fig. 7 D, Figure 10 B etc. of Fig. 3, if detect multiple curvilinear figure consistent with the curve shape of regulation from image, and certain curvilinear figure is selected based on user operation from the multiple curvilinear figures detected, then on selected curvilinear figure, describe curve overlappingly, therefore, even if when including multiple curvilinear figure in the picture, also desired curvilinear figure march line drawing can be painted, this curve shape and fitting equation can be learnt with being associated.And then, as shown in Figure 10 ~ Figure 12, when having far and near 2 kinds of subjects in photographs, for each subject, can learn with being associated by curve shape with by the fitting equation that this curve shape shows according to physical size.
In addition, as shown in step S6 ~ S8, Fig. 7 B ~ Fig. 7 D etc. of Fig. 3, if have selected the kind of curve shape based on user operation, then from image, detect the curvilinear figure consistent with selected curve shape, therefore, it is possible to desired curve shape and fitting equation are learnt with being associated.
In addition, about thin portion structure and thin portion's action of each textural element of the function calculator 1 in above-mentioned embodiment, can suitably change without departing from the scope of spirit of the present invention.
Such as, electronic equipment of the present invention is illustrated as function calculator etc., but the scope that the present invention can apply is not limited to such product, whole electronic equipments of portable phone, personal computer, PDA (Personal Digital Assistant), game machine etc. can be applied to.In addition, program 130 of the present invention also can be stored in carry out in the storage card, CD etc. of dismounting relative to function calculator 1.
In addition, with the longitudinal axis of coordinate system be Y-axis, transverse axis is illustrated for X-axis, but, also can be other coordinate axis titles.And then, describe coordinate system with orthogonal coordinate system, but also can be the coordinate system of other kinds such as oblique coordinates system, polar coordinate system.
Claims (5)
1. an electronic equipment, possesses:
Display, display image;
Curvilinear figure detecting unit, detects and the some consistent curvilinear figure in the multiple curve shapes preset from described image;
Curve delineation unit, the curvilinear figure detected by this curvilinear figure detecting unit describes curve overlappingly;
Length input line segment designating unit, based on user operation, specifies in described image certain 1 line segment among multiple line segments of comprising, as the line segment of length input object;
Line segment length input block, based on user operation, to the line segment input length of described length input object;
Initial point setup unit, sets the initial point of XY coordinate system accordingly with the position of described curve and shape in described image;
Indication range computing unit, based on the length that by described line segment length input block inputted corresponding with the line segment of described length input object, calculate the indication range of the described XY coordinate system formed by minimum value and the maximal value of the minimum value of X-coordinate and maximal value, Y-coordinate set overlappingly with described image;
Fitting equation computing unit, based on the indication range calculated by described indication range computing unit, calculates the fitting equation of the curve described by described curve delineation unit and shows on the display; And
Trace coordinate display unit, on curve tracing point being presented at described by described curve delineation unit, makes described tracing point move on described curve according to the operation of user, show this move after the coordinate of tracing point.
2. electronic equipment as claimed in claim 1, possesses:
Length computation line segment designating unit, based on user operation, specifies in described image certain 1 line segment among multiple line segments of comprising, as the line segment of length computation object; And
Line segment length computing unit, based on the length of the line segment of described length input object, calculates the length of the line segment of described length computation object and shows.
3. electronic equipment as claimed in claim 1,
Described curvilinear figure detecting unit detects the some consistent multiple curvilinear figures with described multiple curve shape from described image,
Described curve delineation unit has:
Curvilinear figure selection unit, based on user operation, selects certain curvilinear figure from multiple curvilinear figures that described curvilinear figure detecting unit detects; And
Trade-off curve graphic depiction unit, the curvilinear figure selected by described curvilinear figure selection unit describes curve overlappingly.
4. electronic equipment as claimed in claim 1,
Described curvilinear figure detecting unit has:
Curve shape selection unit, based on user operation, the kind of trade-off curve shape; And
Selected shape curvilinear figure detecting unit, detects the curvilinear figure consistent with the curve shape selected by described curve shape selection unit from described image.
5. a curve display packing is the curve display packing performed by computing machine, and this computing machine possesses the display of display image, and this curve display packing comprises:
The step with the some consistent curvilinear figure of the multiple curve shapes preset is detected from described image;
The curvilinear figure detected by this step is described the step of curve overlappingly;
Based on user operation, specify in described image certain 1 line segment among multiple line segments of comprising, as the step of the line segment of length input object;
Based on user operation, to the step of the line segment input length of described length input object;
In described image, the step of the initial point of XY coordinate system is set accordingly with the position of described curve and shape;
Based on the described length inputted the line segment of described length input object, calculate the step of the indication range of the described XY coordinate system formed by minimum value and the maximal value of the minimum value of X-coordinate and maximal value, Y-coordinate set overlappingly with described image;
Based on described indication range, calculate the fitting equation also display step on the display of the described curve described; And
Make tracing point be presented on described described curve, according to the operation of user, described tracing point moved on described curve, show this move after the step of coordinate of tracing point.
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| JP066886/2011 | 2011-03-25 | ||
| JP2011066886A JP5716479B2 (en) | 2011-03-25 | 2011-03-25 | Electronic device and program |
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| CN102750260A CN102750260A (en) | 2012-10-24 |
| CN102750260B true CN102750260B (en) | 2015-09-16 |
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| US (1) | US8791959B2 (en) |
| EP (1) | EP2503468B1 (en) |
| JP (1) | JP5716479B2 (en) |
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| JP5892094B2 (en) * | 2013-03-21 | 2016-03-23 | カシオ計算機株式会社 | Graph display control device, graph display control method, and graph display control program |
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| JP6922301B2 (en) * | 2017-03-22 | 2021-08-18 | カシオ計算機株式会社 | Electronic devices, graph drawing systems, graph drawing methods, and programs |
| JP6972842B2 (en) * | 2017-09-27 | 2021-11-24 | カシオ計算機株式会社 | Display control method, display device, and program |
| JP7087393B2 (en) * | 2018-01-12 | 2022-06-21 | カシオ計算機株式会社 | Display control device, display control method, and program |
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|---|---|
| JP5716479B2 (en) | 2015-05-13 |
| AU2012201739A1 (en) | 2012-10-11 |
| EP2503468A3 (en) | 2018-01-24 |
| US20120242690A1 (en) | 2012-09-27 |
| US8791959B2 (en) | 2014-07-29 |
| EP2503468A2 (en) | 2012-09-26 |
| EP2503468B1 (en) | 2019-02-27 |
| CN102750260A (en) | 2012-10-24 |
| AU2012201739B2 (en) | 2014-08-14 |
| JP2012203601A (en) | 2012-10-22 |
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